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104246307984 = 24371359404507
BaseRepresentation
bin110000100010110010…
…0000110110010010000
3100222002002211010201210
41201011210012302100
53201444023323414
6115520132100120
710350214666110
oct1410544066220
9328062733653
10104246307984
1140235361145
1218253a64640
139aa4480210
14508cdad040
152aa1e14e59
hex1845906c90

104246307984 has 160 divisors (see below), whose sum is σ = 337068426240. Its totient is φ = 27027472896.

The previous prime is 104246307983. The next prime is 104246308003. The reversal of 104246307984 is 489703642401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (104246307983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55459 + ... + 459965.

It is an arithmetic number, because the mean of its divisors is an integer number (2106677664).

Almost surely, 2104246307984 is an apocalyptic number.

104246307984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104246307984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168534213120).

104246307984 is an abundant number, since it is smaller than the sum of its proper divisors (232822118256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104246307984 is a wasteful number, since it uses less digits than its factorization.

104246307984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404597 (or 404591 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 104246307984 in words is "one hundred four billion, two hundred forty-six million, three hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 59 78 84 91 104 112 118 156 168 177 182 208 236 273 312 336 354 364 413 472 546 624 708 728 767 826 944 1092 1239 1416 1456 1534 1652 2184 2301 2478 2832 3068 3304 4368 4602 4956 5369 6136 6608 9204 9912 10738 12272 16107 18408 19824 21476 32214 36816 42952 64428 85904 128856 257712 404507 809014 1213521 1618028 2427042 2831549 3236056 4854084 5258591 5663098 6472112 8494647 9708168 10517182 11326196 15775773 16989294 19416336 21034364 22652392 23865913 31551546 33978588 36810137 42068728 45304784 47731826 63103092 67957176 71597739 73620274 84137456 95463652 110430411 126206184 135914352 143195478 147240548 167061391 190927304 220860822 252412368 286390956 294481096 310256869 334122782 381854608 441721644 501184173 572781912 588962192 620513738 668245564 883443288 930770607 1002368346 1145563824 1241027476 1336491128 1766886576 1861541214 2004736692 2171798083 2482054952 2672982256 3723082428 4009473384 4343596166 4964109904 6515394249 7446164856 8018946768 8687192332 13030788498 14892329712 17374384664 26061576996 34748769328 52123153992 104246307984